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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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# An interesting example from Leech's 1963 paper.
# Uses m=168 & t=174; the coincs are (all) in the SG phase!
# The holes % drops smoothly during the rest of the enumeration,
#   as the table is `filled in'.

Enum: [3,7]+;
Gr: a,b;
Rel: b^7, (ab)^2, (Ab)^3;
Subgr: index 168;
Gen: a^4, Ba^4b, B^2a^4b^2, B^3a^4b^3, B^4a^4b^4, B^5a^4b^5, B^6a^4b^6;

Fel:1;  No:0;

Mess:-5;
End;